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Finding the Third Proportional to 472,582 and 1,037,022

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Solution

The third proportional to 472,582 and 1,037,022 is: 2,275,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,582 : 1,037,022 = 1,037,022 : x
  2. Step 2: Convert to fraction form
    472,582/1,037,022 = 1,037,022/x
  3. Step 3: Cross multiply
    472,582x = 1,037,022 × 1,037,022
  4. Step 4: Simplify right side
    472,582x = 1,075,414,628,484
  5. Step 5: Solve for x
    x = 1,075,414,628,484/472,582
  6. Step 6: Final answer
    x = 2,275,614.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.